Submission #589755

# Submission time Handle Problem Language Result Execution time Memory
589755 2022-07-05T08:39:21 Z MohamedFaresNebili Split the sequence (APIO14_sequence) C++14
100 / 100
458 ms 81804 KB
#include <bits/stdc++.h>
/// #pragma GCC optimize ("Ofast")
/// #pragma GCC target ("avx2")
/// #pragma GCC optimize("unroll-loops")

                using namespace std;

                using ll = long long;
                using ld = long double;
                using ii = pair<ll, ll>;
                using vi = vector<int>;

                #define ff first
                #define ss second
                #define pb push_back
                #define all(x) (x).begin(), (x).end()
                #define lb lower_bound
                /// #define int ll
                /// #define double ld

                const int MOD = 1000 * 1000 * 1000 + 7;
                const double EPS = 1e-9;

                int N, K;
                ll A[100001], DP[2][100001];
                int P[201][100001], Q[100001];

                ll area(int a, int b, int c) {
                    return (DP[0][b] - DP[0][a]) - (A[b] - A[a]) * (A[N] - A[c]);
                }
                ll cross(int a, int b, int c) {
                    return (DP[0][b] - DP[0][a]) * (A[c] - A[b])
                        -  (DP[0][c] - DP[0][b]) * (A[b] - A[a]);
                }

                int32_t main() {
                    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
                    cin >> N >> K;
                    for(int l = 1; l <= N; l++) {
                        cin >> A[l];
                        A[l] += A[l - 1];
                    }
                    for(int l = 1; l <= K; l++) {
                        int L = 1, R = 1; Q[R++] = 0;
                        for(int i = 1; i <= N; i++) {
                            while(R - L > 1 && area(Q[L], Q[L + 1], i) >= 0) L++;
                            int V = Q[L];
                            DP[1][i] = DP[0][V] + (A[i] - A[V]) * (A[N] - A[i]);
                            P[l][i] = V;
                            while(R - L > 1 && cross(Q[R - 2], Q[R - 1], i) <= 0) R--;
                            Q[R++] = i;
                        }
                        swap(DP[0], DP[1]);
                    }
                    ll res = -1; int curr = 0;
                    for(int l = 1; l <= N; l++) {
                        if(DP[0][l] > res)
                            res = DP[0][l], curr = l;
                    }
                    cout << res << "\n";
                    while(K > 0) {
                        cout << curr << " ";
                        curr = P[K][curr]; K--;
                    }
                    return 0;
                }
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1876 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 1876 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 1876 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 1876 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 3 ms 1876 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 1876 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 1876 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 1876 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 1876 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 1876 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 1876 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 1876 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 1876 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 1876 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 1876 KB contestant found the optimal answer: 805 == 805
16 Correct 2 ms 1876 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 1876 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1876 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 1876 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 5 ms 2136 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 1876 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 3 ms 1924 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 1876 KB contestant found the optimal answer: 933702 == 933702
7 Correct 4 ms 1928 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 1876 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 1876 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 3 ms 1876 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1876 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 1896 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 19 ms 2900 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 1876 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 14 ms 2580 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 17 ms 2772 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 20 ms 2884 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 5 ms 2116 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 4 ms 2004 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 7 ms 2280 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1876 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 1876 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 22 ms 3548 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 1876 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 24 ms 3580 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 21 ms 3276 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 22 ms 3596 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 23 ms 3620 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 8 ms 2244 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 10 ms 2568 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2136 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 2132 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 47 ms 10732 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 2132 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 53 ms 7220 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 50 ms 8132 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 42 ms 8488 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 33 ms 7364 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 35 ms 8092 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 46 ms 9844 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 11 ms 4088 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 14 ms 4052 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 315 ms 81804 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 12 ms 4724 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 458 ms 81352 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 340 ms 57944 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 364 ms 62220 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 235 ms 51096 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 245 ms 58164 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 347 ms 73736 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845